1. CHAPTER 10 The Cost of Capital
Sources of capital
Component costs
WACC
Adjusting for flotation costs
Adjusting for risk

2. What sources of long-term capital do firms use?
Preferred Stock
Common Stock
Long-Term
Debt
Retained Earnings
New Common
Stock

3. How do you calculate the weighted average cost of capital?
WACC = wdkd(1 – T) + wpkp + wcks.
The w’s refer to the capital structure weights.
The k’s refer to the cost of each component.

4. Should we focus on before-tax or after-tax capital costs?
Stockholders focus on A-T CFs.
Therefore, we should focus on
A-T capital costs, i.e., use A-T costs in WACC. Only kd needs adjustment, because interest is deductible.

5. Should we focus on historical (embedded) costs or new (marginal) costs?
The cost of capital is used primarily to make decisions that involve raising new capital. So, focus on today’s marginal costs (for WACC).

6. How do you determine the weights?
WACC = wdkd(1 – T) + wpkp + wcks.
Use accounting numbers or market value (book vs. market weights)?
Use actual numbers or target capital structure?

7. WACC = wdkd(1 – T) + wpkp + wcks.
Component Cost of Debt
WACC = wdkd(1 – T) + wpkp + wcks.
kd is the marginal cost of debt capital.
The yield to maturity on outstanding LT debt is often used as a measure of kd.
Why tax-adjust, i.e., why kd(1 - T)?

8. A 15-year, 12% semiannual bond sells for $1,153.72. What is kd?1 2 30
i = ?
... 60 60
60 + 1,000
-1,153.72
5.0% x 2 = kd = 10%
INPUTS N
I/YR PV
PMT FV
OUTPUT

9. Component Cost of Debt
Interest is tax deductible, so
kd AT = kd BT(1 – T)
= 10%(1 – 0.40) = 6%.
Use nominal rate.
Flotation costs small. Ignore.

10. Component Cost of Preferred Stock
WACC = wdkd(1 – T) + wpkp + wcks.
kp is the marginal cost of preferred stock.
The rate of return investors require on the firm’s preferred stock.

11. What’s the cost of preferred stock? Pp = $111.10; 10%Q; Par = $100.
Use this formula: D $ 10 k
= = = = p
0.090
9.0%. p P $
111 . 10 p

12. Picture of Preferred Stock1 2
kp = ?
...
-111.1
2.50
2.50
2.50
$ = =
kPer = = 2.25%;
kp(Nom) = 2.25%(4) = 9%. DQ
kPer
$2.50
kPer
$2.50
$111.10

13. Note:
Preferred dividends are not tax deductible, so no tax adjustment. Just kp.
Nominal kp is used.
Our calculation ignores flotation costs.

14. Is preferred stock more or less risky to investors than debt?
More risky; company not required to pay preferred dividend.
However, firms try to pay preferred dividend. Otherwise, (1) cannot pay common dividend, (2) difficult to raise additional funds, (3) preferred stockholders may gain control of firm.

15. Why is yield on preferred lower than kd?
Corporations own most preferred stock, because 70% of preferred dividends are nontaxable to corporations.
Therefore, preferred often has a lower B-T yield than the B-T yield on debt.
The A-T yield to an investor, and the A-T cost to the issuer, are higher on preferred than on debt. Consistent with higher risk of preferred.

16. Example:
kp = 9% kd = 10% T = 40%
kp, AT = kp – kp (1 – 0.7)(T)
= 9% – 9%(0.3)(0.4) = %.
kd, AT = 10% – 10%(0.4) = %.
A-T Risk Premium on Preferred = 1.92%.

17. Component Cost of Equity
WACC = wdkd(1 – T) + wpkp + wcks.
ks is the marginal cost of common equity using retained earnings.
The rate of return investors require on the firm’s common equity using new equity is ke.

18. Why is there a cost for retained earnings?
Earnings can be reinvested or paid out as dividends.
Investors could buy other securities, earn a return.
Thus, there is an opportunity cost if earnings are retained.

19. Opportunity cost: The return stockholders could earn on alternative investments of equal risk.
They could buy similar stocks and earn ks, or company could repurchase its own stock and earn ks. So, ks is the cost of retained earnings.

20. Three ways to determine cost of common equity, ks:
1. CAPM: ks = kRF + (kM – kRF)b.
2. DCF: ks = D1/P0 + g.
3. Own-Bond-Yield-Plus-Risk
Premium: ks = kd + RP.

21. What’s the cost of common equity based on the CAPM
What’s the cost of common equity based on the CAPM? kRF = 7%, RPM = 6%, b = 1.2.
ks = kRF + (kM – kRF )b.
= 7.0% + (6.0%)1.2 = 14.2%.

22. What’s the DCF cost of common equity, ks. Given: D0 = $4
What’s the DCF cost of common equity, ks? Given: D0 = $4.19; P0 = $50; g = 5%.
ks = g = g = =
= 13.8%. D1 P0
D0(1 + g) P0
$4.19(1.05)
$50

23. Suppose the company has been earning 15% on equity (ROE = 15%) and retaining 35% (dividend payout = 65%), and this situation is expected to continue. What’s the expected future g?

24. Retention growth rate: g = (1 – Payout)(ROE). = 0. 35(15%). = 5. 25%
Retention growth rate: g = (1 – Payout)(ROE) = 0.35(15%) = 5.25%. Here (1 – Payout) = Fraction retained. Close to g = 5% given earlier. Think of bank account paying 10% with payout = 100%, payout = 0%, and payout = 50%. What’s g in each case?

25. Could DCF methodology be applied if g is not constant?
YES, nonconstant g stocks are expected to have constant g at some point, generally in 5 to 10 years.
But calculations get complicated.

26. Find ks using the own-bond-yield-plus-risk-premium method
Find ks using the own-bond-yield-plus-risk-premium method. (kd = 10%, RP = 4%.)
ks = kd + RP
= 10.0% + 4.0% = 14.0%
This RP ¹ CAPM RP.
Produces ballpark estimate of ks. Useful check.

27. What’s a reasonable final estimate of ks?
Method Estimate
CAPM %
DCF %
kd + RP %
Average %

28. Why is the cost of retained earnings cheaper than the cost of issuing new common stock?
1. When a company issues new common stock they also have to pay flotation costs to the underwriter.
2. Issuing new common stock may send a negative signal to the capital markets, which may depress stock price.

29. Two approaches that can be used to account for flotation costs:
Include the flotation costs as part of the project’s up-front cost. This reduces the project’s estimated return.
Adjust the cost of capital to include flotation costs. This is most commonly done by incorporating flotation costs in the DCF model.

30. Suppose new common stock had a flotation cost of 15%. What is ke?
ke = g
D0(1 + g)
P0(1 – F)
= %
= % = 15.4%.
$4.19(1.05)
$50(1 – 0.15)
$4.40
$42.50

31. Comments about Flotation Costs
Flotation costs depend on the risk of the firm and the type of capital being raised.
The flotation costs are highest for common equity. However, since most firms issue equity infrequently, the per-project cost is fairly small.
We will frequently ignore flotation costs when calculating the WACC.

32. What’s the firm’s WACC (ignoring flotation costs)?
WACC = wdkd(1 – T) + wpkp + wcks
= 0.3(10%)(0.6) + 0.1(9%) + 0.6(14%)
= 1.8% + 0.9% + 8.4% = 11.1%.

33. What factors influence a company’s composite WACC?
Market conditions.
The firm’s capital structure and dividend policy.
The firm’s investment policy. Firms with riskier projects generally have a higher WACC.

34. WACC Estimates for Some Large U.S. Corporations, 1999
Company WACC
Intel 12.19%
General Electric 12.47
Motorola 11.65
Coca-Cola 12.31
Walt Disney
AT&T
Wal-Mart 10.99
Exxon Mobil
H. J. Heinz
BellSouth

35. Should the company use the composite WACC as the hurdle rate for each of its projects?
NO! The composite WACC reflects the risk of an average project undertaken by the firm. Therefore, the WACC only represents the “hurdle rate” for a typical project with average risk.
Different projects have different risks. The project’s WACC should be adjusted to reflect the project’s risk.

36. Risk and the Cost of Capital

37. Divisional Cost of Capital

38. What are the three types of project risk?
Stand-alone risk
Corporate risk
Market risk

39. How is each type of risk used?
Market risk is theoretically best in most situations.
However, creditors, customers, suppliers, and employees are more affected by corporate risk.
Therefore, corporate risk is also relevant.

40. What procedures are used to determine the risk-adjusted cost of capital for a particular project or division?
Subjective adjustments to the firm’s composite WACC.
Attempt to estimate what the cost of capital would be if the project/division were a stand-alone firm. This requires estimating the project’s beta.

41. Methods for Estimating a Project’s Beta
1. Pure play. Find several publicly traded companies exclusively in project’s business.
Use average of their betas as proxy for project’s beta.
Hard to find such companies.

42. 2. Accounting beta. Run regression between project’s ROA and S&P index ROA.
Accounting betas are correlated (0.5 – 0.6) with market betas.
But normally can’t get data on new projects’ ROAs before the capital budgeting decision has been made.

43. Find the division’s market risk and cost of capital based on the CAPM, given these inputs:
Target debt ratio = 40%.
kd = 12%.
kRF = 7%.
Tax rate = 40%.
betaDivision = 1.7.
Market risk premium = 6%.

44. Beta = 1.7, so division has more market risk than average.
Division’s required return on equity:
ks = kRF + (kM – kRF)bDiv.
= 7% + (6%)1.7 = 17.2%.
WACCDiv. = wdkd(1 – T) + wcks
= 0.4(12%)(0.6) + 0.6(17.2%)
= 13.2%.

45. How does the division’s market risk compare with the firm’s overall market risk?
Division WACC = 13.2% versus company WACC = 11.1%.
Indicates that the division’s market risk is greater than firm’s average project.
“Typical” projects within this division would be accepted if their returns are above 13.2%.